basis afgeleiden Flashcards
(23 cards)
1
Q
D(x^n)
A
nx^(n-1)
2
Q
D(1/x)
A
- 1/x²
3
Q
D(√x)
A
1/(2√x)
4
Q
D(sin x)
A
cos x
5
Q
D(cos x)
A
- sin x
6
Q
D(ln x)
A
1/x
7
Q
D(log_a (x))
A
1/(x ln a )
8
Q
D(sinh x)
A
cosh x
9
Q
D(cosh x)
A
sinh x
10
Q
D(tan x)
A
sec² x
11
Q
D(cot x)
A
- csc² x
12
Q
D(sec x)
A
sec (x) * tan (x)
13
Q
D(csc x)
A
- csc (x) * cot (x)
14
Q
D(arcsin x)
A
1/√(1-x²)
15
Q
D(arccos x)
A
(-1)/√(1-x²)
16
Q
D(arctan x)
A
1/(1+x²)
17
Q
D(arccot x)
A
(-1)/(1+x²)
18
Q
D(argsinh x)
A
1/√(1+x²)
19
Q
D(argcosh x)
A
1/√(x²-1)
20
Q
D(argtanh x)
A
1/(1-x²)
21
Q
D(argcoth x)
A
1/(1-x²)
22
Q
D(e^x)
A
e^x
23
Q
D(a^x)
A
a^x * ln a
